If a line has slope (-8) and (y)-intercept (5), which equation is correct?
Answer and explanation
Correct answer: \(y=-8x+5\)
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the \(y\)-intercept. Substituting \(m=-8\) and \(c=5\) gives \(y=-8x+5\). Option A has the correct \(y\)-intercept, but its slope is \(8\), not \(-8\). Exam tip: the coefficient of \(x\) is the slope, while the constant term is the \(y\)-intercept.
Frequently asked questions
What is the correct answer to this question?
\(y=-8x+5\)
Why is this the correct answer?
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the \(y\)-intercept. Substituting \(m=-8\) and \(c=5\) gives \(y=-8x+5\). Option A has the correct \(y\)-intercept, but its slope is \(8\), not \(-8\). Exam tip: the coefficient of \(x\) is the slope, while the constant term is the \(y\)-intercept.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Slope and y-intercept.
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